48884472000 has 1120 divisors, whose sum is σ = 222848545920. Its totient is φ = 10301644800.

The previous prime is 48884471959. The next prime is 48884472001. The reversal of 48884472000 is 27448884.

It is a happy number.

48884472000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48884472001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58967586 + ... + 58968414.

It is an arithmetic number, because the mean of its divisors is an integer number (198971916).

Almost surely, 2^48884472000 is an apocalyptic number.

48884472000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48884472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111424272960).

48884472000 is an abundant number, since it is smaller than the sum of its proper divisors (173964073920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48884472000 is a wasteful number, since it uses less digits than its factorization.

48884472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 48884472000 in words is "forty-eight billion, eight hundred eighty-four million, four hundred seventy-two thousand".